ABC company is considering a project that calls for an initial cash outlay of $50,000. The expected net cash inflows from the project are $7,791 for each of 10 years. What is the IRR of the project?
IRR is the rate at which Net presnt value of the project is NIL.
IRR can be found out using trial and error method.
Years | Cash Flows | Dicount Factor @ 10% | Present Value | Discount Factor @ 9% | Present Value |
0 | -50000 | 1.000 | -50000 | 1 | -50000 |
1 | 7791 | 0.909 | 7083 | 0.917 | 7148 |
2 | 7791 | 0.826 | 6439 | 0.842 | 6558 |
3 | 7791 | 0.751 | 5853 | 0.772 | 6016 |
4 | 7791 | 0.683 | 5321 | 0.708 | 5519 |
5 | 7791 | 0.621 | 4838 | 0.650 | 5064 |
6 | 7791 | 0.564 | 4398 | 0.596 | 4646 |
7 | 7791 | 0.513 | 3998 | 0.547 | 4262 |
8 | 7791 | 0.467 | 3635 | 0.502 | 3910 |
9 | 7791 | 0.424 | 3304 | 0.460 | 3587 |
10 | 7791 | 0.386 | 3004 | 0.422 | 3291 |
Net Present Value | -2128 | 0 | |||
From the above table, it is clear that NPV is NIL when IRR is very close to 9%. Therefore, IRR of the project is 9%.
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